CBSE · Class 10 · Mathematics · PolynomialsIf one zero of the quadratic polynomial $x^2 + 3x + k$ is 2, then the value of $k$ is:
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Step-by-Step Solution
To find the value of $k$, we substitute the given zero $x = 2$ into the polynomial $p(x) = x^2 + 3x + k$ and equate it to zero. $p(2) = (2)^2 + 3(2) + k = 0$ $4 + 6 + k = 0$ $10 + k = 0$ $k = -10$\nTherefore, the correct option is -10.
Detailed Options Breakdown
Option : 10
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: -10 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: -5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
💡 Study Guide: This question tests core syllabus concepts from Polynomials. For formulas, key summaries, and mock exam reference guides, read the full Polynomials Revision Notes.